On the Stability of Axisymmetric Systems to Axisymmetric Perturbations in General Relativity.IV. Allowance for Gravitational Radiation in an Odd-Parity Mode
Abstract
In the present paper, the variational principle derved in Paper II is clarified; and it is shown how it may be used to treat the damping of the axisymmetric oscillations of a uniformly rotating star, by the emission of gravitational radiation in an odd-parity mode. It is further shown that the expression, for the imaginary part of the frequency as a surface integral (at infinity), which follows from the variational principle, is consistent with the requirements of the conservation of energy. Subject headings: gravitation - relativity - rotation
- Publication:
-
The Astrophysical Journal
- Pub Date:
- April 1973
- DOI:
- 10.1086/152064
- Bibcode:
- 1973ApJ...181..481C